Mathematical Modeling and Numerical Investigate of M.R.I Process in Blood Vessels

Magnetic resonance imaging (MRI) is a tomographic imaging technique that produces images of internal physical and chemical characteristics of an object from externally measured MR signals. In this study, the Bloch NMR flow equations are considered as a diffusion equation with constant transport coefficient in terms of the NMR transverse magnetization. This presentation first will focus on theoretical method to the Bloch NMR flow equations in special case and it a numerical procedure based on finite differences method (FDM) is established to solve the proposed problem numerically. The numerical results obtained by FDM are compared with theoretical results in some spatial cases

Keywords:

Bloch NMR equations , Differential equations , Boubaker polynomials , finite difference method , Fourier transform